Acertain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. the store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. if the order in which the colors are packed is not considered, how many different packages of the types described above are possible? (a) 6
(b) 8
(c) 16
(d) 24
(e) 32

 (C) 16

Step-by-step explanation:

Given : Number of sizes of self-stick notepads= 2

Number of colors = 4

Type 1 : The store packs the notepads in packages that contain 3 notepads of the same size.

i.e. By Fundamental principle of counting , we have

Number of different packages possible = Number of colors x No. of sizes

=

Type 2: Notepads of the same size and of 3 different colors.

Choices for 3 different colors out of 4 :

Again by fundamental principle :

Number of different packages possible = No. of choices for choosing 3 different colors x No. of sizes

=

From Type 1 and Type 2 , the total number of different packages of the types described above are possible =8+8= 16

Hence, the correct answer is option (c) 16.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,